The third, to conduct my thoughts in such order that, by commencing with
objects the simplest and easiest to know, I might ascend by little and
little, and, as it were, step by step, to the knowledge of the more complex;
assigning in thought a certain order even to those objects which in their
own nature do not stand in a relation of antecedence and sequence.
And the last, in every case to make enumerations so complete, and reviews
so general, that I might be assured that nothing was omitted.
The long chains of simple and easy reasonings by means of which
geometers are accustomed to reach the conclusions of their most
difficult demonstrations, had led me to imagine that all things,
to the knowledge of which man is competent, are mutually connected
in the same way, and that there is nothing so far removed from us
as to be beyond our reach, or so hidden that we cannot discover it,
provided only we abstain from accepting the false for the true, and
always preserve in our thoughts the order necessary for the deduction
of one truth from another. And I had little difficulty in determining
the objects with which it was necessary to commence, for I was already
persuaded that it must be with the simplest and easiest to know, and,
considering that of all those who have hitherto sought truth in the sciences,
the mathematicians alone have been able to find any demonstrations, that is,
any certain and evident reasons, I did not doubt but that such must have been
the rule of their investigations.
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